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castortr0y [4]
3 years ago
10

At oxnard university, a student id consists of one letter (26 possibilities) followed by eight digits (10 possibilities). (a) ho

w many unique student ids can be created? number of student ids (b) would one letter followed by three digits suffice for a university with 43,000 students? yes no
Mathematics
1 answer:
Anika [276]3 years ago
5 0

A. We are given that the combination is 1 letter and 8 digits, so the total number of unique combinations would be the product of each possibilities.

Total unique ID’s = 26 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10

or can also be written as

Total unique ID’s = 26 * 10^8

Solving:

Total unique ID’s = 2.6 x 10^9

 

B. Let us now calculate the total unique ID’s if there is only 1 letter followed by 3 digits.

Total unique ID’s = 26 * 10^3

Total unique ID’s = 26,000

Since there are 48,000 students and only 26,000 unique ID’s, therefore it is not enough.

<span>NO.</span>

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